Triangle ABC has angle measures as shown below. Using the information in the
diagram, find the value of x. Be sure to write your answer down on a piece of paper -
you will need it for Question 4.
In your answer, give the value of x and explain how you calculated it.
3(x + 2)°
35
52°
0

1. Divide 4 both sides

2. Graph the inequality

Answer: B

Step-by-step explanation:

For a relation to be a function, each input value can only have one corresponding output.

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

[tex]13 -( 2p + 1 )= - 2p + 12[/tex]

Then find distance between 13, and 5p-3

[tex]5p - 3 - ( 13) = 5p - 16[/tex]

Terms in a AP progression should have same distances as each other.

[tex]5p - 16 = - 2p + 12[/tex]

[tex]7p = 28[/tex]

[tex]p = 4[/tex]

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.

Answer:

A

Step-by-step explanation:

You would move the decimal back only 2 places.

Answer:

0.17

Step-by-step explanation:

All you do is divide by 100.

John should use the closed circle when representing the inequality x ≤ 10.

An inequality is an expression that shows the relationship between two or more numbers and variables.

Given the inequality x ≤ 10. To graph this inequality, we need to represent it on a number line.

When representing on a number line, closed circle is used to represent ≤ or ≥ while open circle represents < or >.

John should use the closed circle when representing the inequality x ≤ 10.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

A) The initial value

yes 7 - 11 = -4

so 7x - 11x = -4x

Answer:

(2x − 5)(2x + 5)(x + 2)

Step-by-step explanation:

i hope this helps

The standard deviation for this set of population data is 6.9. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The number of cars sold at a dealership over several weeks is given below.

14, 23, 31, 29, 33.

Then the mean will be

[tex]\mu = \dfrac{14+23+31+29+33}{5}\\\\\\\mu = \dfrac{130}{5}\\\\\\\mu = 26[/tex]

Then the standard deviation is given as

[tex]\sigma = \sqrt {\dfrac{\Sigma _{i=1}^n(x_i - \mu)^2}{n}}\\\\\\\sigma = \sqrt{\dfrac{(14-26)^2+ (23-26)^2+ (31-26)^2+ (29-26)^2+ (33-26)^2}{5}}\\\\\\\sigma = \sqrt{\dfrac{236}{5}}\\\\\\\sigma = \sqrt{47.2}\\\\\\\sigma = 6.87 \approx 6.9[/tex]

The standard deviation for this set of population data is 6.9. Then the correct option is A.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

Answer:

Step-by-step explanation:

Answer:

28°

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28°

Please brainlest!

Answer:

-2,-2 i think

Step-by-step explanation:

Answer:

3.16

Step-by-step explanation:

Because 4 3/4 divided by 2/3 is 3.16666666667 and 3.16666666667 simplified is 3.16. So 3.16 is the answer.

Hope this helps!

Answer:

67

Step-by-step explanation

I did this in my math class yesterday

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

[tex]v_2 = v_1 + 4[/tex].

The first runner's speed is 4/5 of the speed of the second runner, hence:

[tex]v_1 = \frac{4}{5}v_2[/tex]

[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]

[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]

[tex]v_1 = 16[/tex]

[tex]v_2 = 16 + 4 = 20[/tex]

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at https://brainly.com/question/24863377

Answer:

Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.

Step-by-step explanation:

x+x+x= 36 what about 3x you divide by the co_efficient of 3 which you will get 12.....(so 12-1 on your left and +1 on your right hand side....so the numbers are ( 11+12+13=36)

Answer:

the slope is 3

Step-by-step explanation:

use the equation

y2 -y 1 / x2 - x1

to find the slope

6 - (-6) / 3 - (-1)

6 + 6 / 3 + 1

12 / 4

3

Answer:

The answer is B

Step-by-step explanation:

It becomes 8y = -3x + 12.

Then divide by 8 on both sides.

y = -0.375+1.5

This you can turn it into a fraction which is y = -3/8 + 1.5

Answer:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

Step-by-step explanation:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

Using the Fundamental Counting Theorem, it is found that there is a 0.2 = 20% probability of choosing a random number that starts with 9 from this group.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that:

Then, the total number is:

N = 5 x 4 x 8 x 7 x 6 x 5 = 33600.

Starting with 9, we have that:

Then:

N9 = 1 x 4 x 8 x 7 x 6 x 5 = 6720.

A probability is given by the number of desired outcomes divided by the number of total outcomes, hence:

p = N9/N = 6720/33600 = 0.2.

0.2 = 20% probability of choosing a random number that starts with 9 from this group.

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Step-by-step explanation:

The figure shows an isosceles triangle. The two sides of an isosceles triangle are equal and the two base angles are equal. Since line AD is the angular bisector of the top Angle of an isosceles triangle, AD is also the base midline and base perpendicular bisector of the triangle.

So x=90 degrees.

The angles of a triangle add up to 180 degrees. So ∠DAC=(180-90-47)=43 degrees

y=43 degrees.

Answer:

y = 43°

x = 90°

Step-by-step explanation:

x = 90°(right angle)

y + 47 + x = 180(base angles of isosceles are equal)(all angles of triangle are equal)

y + 47 + 90 = 180

y + 137 = 180

y = 180 - 137

y = 43°

The total volume of alloy in the post is about 900 cm³

Volume is the amount of space occupied by a three dimensional shape or object.

Volume = length * width * height

The right rectangular prism measuring 9 cm by 9 cm by 28 cm. The alloy is 1.5 cm thick.

Length = 9 - 1.5 - 1.5 = 6 cm, width = 9 - 1.5 - 1.5 = 6 cm, height = 28 - 1.5 - 1.5 = 25 cm. Hence:

Volume = 6 * 6 * 25 = 900 cm³

The total volume of alloy in the post is about 900 cm³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

1837.5

Step-by-step explanation:

I jut did it

Answer:

x = 57°

Step-by-step explanation:

23° + 100° + x = 180°

123° + x = 180°

-123         -123

x = 57°

Hope this helps!

Answer:

x=6

Step-by-step explanation:

14÷(-2)=-7

-42÷(-7)=6

Answer:

(6-5)/4= 1÷4=0.25

Step-by-step explanation:

Answer:

A, B, and C are rotations so it must be D

Step-by-step explanation:

Answer:

The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

Answer:

A. x<1

Step-by-step explanation:

-1/2 (x+3) > x - 3

(-1/2)x-3/2>x-3

Multiply both sides by 2:

-x-3>2x-6

add both sides by 3:

-x-3+3>2x-6+3

-x>2x-3

minus both sides by 2x

-x-2x>2x-2x-3

-3x>-3

x<1

Answer:

20

Step-by-step explanation:

if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger

4 x 5=20